1996年全国普通高等学校统一招生考试

1996年普通高等学校招生全国统一考试语文试卷本试卷分第Ⅰ卷（选择题）和第Ⅱ卷两部分。

第Ⅰ卷1至6页，第Ⅱ卷7至13页。

共150分。

考试时间150分钟。

第Ⅰ卷（选择题共60分）注意事项：1.答第Ⅰ卷前，考生务必将自己的姓名、准考证号、考试科目用铅笔涂写在答题卡上。

2.每小题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑。

如需改动，用橡皮擦干净后，再选涂其它答案。

不能答在试题卷上。

3.考试结束，将本试卷和答题卡一并交回。

一.（30分）1.下列词语中的红字，读音全都正确的一组是（2分）A.绮（ｑǐ）丽箴（ｊｉāｎ）言乳臭（ｘｉù）未干B.擂（ｌèｉ）台皎（ｊｉǎｏ）洁卷帙（ｚｈì）浩繁C.戕（ｑｉāｎｇ）害璞（ｐǔ）玉塞（ｓàｉ）翁失马D.踪迹（ｊì）姊（ｊｉě）妹载（ｚàｉ）歌载舞2.下列四组词语都有错别字，其中有两个错别字的一组是（2分）A.漱口国藉雄赳赳源远流长B.斑斓沉湎金刚钻插科打浑C.诠释惦量荧光屏鸠占雀巢D.宣泄竣工家具店委屈求全3.依次填入下列横线上的关联词语，最恰当的一组是（2分）①上千吨的轮船碰上这样大的风浪也得上下颠簸，这么一条小船。

②挖这样的井，占地多，不合算，井的四周都是沙土，很容易塌。

③改革后，产品质量提高了，款式新颖了，包装也精美了，因而更加受到群众的欢迎。

A.况且何况而且B.况且而且况且C.何况而且何况D.何况况且而且4.依次填入下面横线上的词语，最恰当的一组是（3分）有位作家说，要想使自己生活的扁舟轻驶，务必要让它的仅限于必不可少之物，不然轻则无以进，重则可能压沉自己的生活之舟。

道理很明白，什么都舍不得撒手，往往什么都不得不。

A.装载徜徉致使割受B.承载徘徊导致舍弃C.装载徘徊致使舍弃D.承载徜徉导致割爱5.下列四句话，用的词语相同，但强调的重点却不同。

其中分别强调"受话人"和"打电话"这件事的一组是（3分）①他上午在家里是给我打了一次电话。

1996年普通高等学校招生全国统一考试数学（理工农医类）本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分．第Ⅰ卷1至2页．第Ⅱ卷3至8页．共150分．考试时间120分钟．第Ⅰ卷（选择题共65分）注意事项：1．答第Ⅰ卷前，考生务必将自己的姓名、准考证号、考试科目用铅笔涂写在答题卡上． 2．每小题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其它答案，不能答在试题卷上．3．考试结束，监考人将本试卷和答题卡一并收回．一．选择题：本大题共15小题，第1—10题每小题4分，第11—15题每小题5分，共65分．在每小题给出的四个选项中，只有一项是符合题目要求的1．已知全集I N =，集合{}{}2,,4,A x x n n N B x x n n N ==∈==∈||，则 A ．B A I = B ．B A I = C ．B A I = D ．B A I = 【答案】C【解析】由于B A Þ，所以AB I =．2．当1a >时，在同一坐标系中，函数xy a -=与log a y x =的图像【答案】A【解析】当1a >时，函数xy a -=是减函数，且过点(0,1)；而函数log a y x =为增函数，且过点(1,0)．3．若22sin cos x x >，则x 的取值范围是 A ．⎭⎬⎫⎩⎨⎧∈+<<-Z k k x k x ,412432ππππ B ．⎭⎬⎫⎩⎨⎧∈+<<+Z k k x k x ,452412ππππ C ．⎭⎬⎫⎩⎨⎧∈+<<-Z k k x k x ,4141ππππ D ．⎭⎬⎫⎩⎨⎧∈+<<+Z k k x k x ,4341ππππ 【答案】D【解析】2221sin cos sin sin 22x x x x >⇒>⇒>或sin 2x <-，解得24k x ππ+< 32()4k k Z ππ<+∈或322()44k x k k Z ππππ-<<-∈，即(21)(21)4k x k πππ-+<<- 3()4k Z π+∈，所以x 的取值范围是⎭⎬⎫⎩⎨⎧∈+<<+Z k k x k x ,4341ππππ．4．复数54)31()22(i i -+等于A ．i 31+B ．i 31+-C ．i 31-D ．i 31--【答案】B44425(2)12()i ω===-+-．5．如果直线,l m 与平面,,αβγ满足：,//,l l m βγαα=⊂和m γ⊥，那么必有A ．αγ⊥且l m ⊥B ．αγ⊥且//m βC ．//m β且l m ⊥D ．//αβ且αγ⊥ 【答案】A 【解析】略． 6．当22x ππ-≤≤时，函数()sin f x x x =+的A ．最大值是1，最小值是1-B ．最大值是1，最小值是12-C ．最大值是2，最小值是2-D ．最大值是2，最小值是1- 【答案】D【解析】因为()sin 2sin()3f x x x x π==+，由已知5636x πππ-≤+≤．故当 32x ππ+=，即6x π=时，()f x 有最大值是2；当36x ππ+=-，即2x π=-时，()f x 有最小值是1-． 7．椭圆⎩⎨⎧+-=+=ϕϕsin 51,cos 33y x 的两个焦点坐标是A ．(3,5),(3,3)---B ．(3,3),(3,5)-C ．(1,1),(7,1)-D ．(7,1),(1,1)--- 【答案】B【解析】消去参数可得直角坐标方程22(1)(3)1259y x +-+=，故焦点坐标是(3,3),(3,5)-．8．若02πα<<，则arcsin[cos()]arccos[sin()]2παπα+++等于A ．2πB ．2π-C ．22πα-D ．22πα--【答案】A【解析】解法一：由于已知sin 0,cos()02παα>+<，原式arcsin(sin )arccos(sin )arccos(sin )αααπααπ=-+-=-+-=-+arccos[cos()]()222πππααπα--=-+--=．解法二：当1x ≤时arcsin arccos 2x x π+=，而1sin 0α-<-<，∴原式arcsin(sin )arccos(sin )2παα=-+-=．9．将边长为a 的正方形ABCD 沿对角线AC 折起，使得BD a =，则三棱锥D ABC -的体积为A ．63aB ．123a C ．3123a D ．3122a 【答案】D【解析】取AC 的中点O ，连接,BO DO ，如图所示．,ABC ADC ∆∆均为等腰直角三角形，22AC BO DO ===， ∴2BOD π∠=，则DO ⊥面ABC ，DO 就是三棱锥D ABC -的高，所以231132212D ABC V a -=⋅⋅=．10．等比数列{}n a 的首项11a =-，前n 项和为n S ，若3231510=S S 则n n S ∞→lim 等于 A ．32 B ．23- C ．2 D ．2- 【答案】B【解析】显然1q ≠，由3231510=S S 得10151(1)31(1)32a q a q -=-，则105323110q q --=，解得 5132q =-，得12q =-，所以12lim 13n n a S q →∞==--．11．椭圆的极坐标方程为θρcos 23-=，则它在短轴上的两个顶点的极坐标是A ．(3,0),(1,)π B．3)22ππ C ．5(2,),(2,)33ππD ．（2arctg )22π- 【答案】C【解析】将极坐标方程为θρcos 23-=化为直角坐标方程22(1)143x y -+=，在短轴上的两个顶点的直角坐标是，所以极坐标是5(2,),(2,)33ππ．12．等差数列{}n a 的前m 项和为30，前2m 项和为100，则它的前3m 项和为A ．130B ．170C ．210D ．260 【答案】C【解析】由已知得230,100m m S S ==，则232,,m m m m m S S S S S --成等差数列，所以323()210m m m S S S =-=．13．设双曲线)0(12222b a by a x <<=-的半焦距为c ，直线l 过(,0),(0,)a b 两点．已知原点到直线l 的距离为c 43，则双曲线的离心率为 A ．2 B ．3 C ．2 D ．332 【答案】A【解析】直线l 的方程为0bx ay ab +-=，原点到直线l 4c =，则22222316a b c a b =+，即22222()316a c a c c -=，解得2e =或e =0a b <<，所以e ==>，所以3e =不合题意．14．母线长为1的圆锥体积最大时，其侧面展开图圆心角ϕ等于 A ．π322 B ．π332 C ．π2 D ．π362 【答案】D15．设()f x 是(,)-∞+∞上的奇函数，(2)()f x f x +=-，当01x ≤≤时，()f x x =，则(7.5)f 等于A ．0.5B ．0.5-C ．1.5D ． 1.5- 【答案】B【解析】(7.5)(5.52)(5.5)[(3.5)](3.5)(1.5)[(0.5)]f f f f f f f =+=-=--==-=---(0.5)0.5f =-=-．第Ⅱ卷（非选择题共85分）二．填空题：本大题共4小题，每小题4分，共16分．把答案填在题中横线上．16．已知圆07622=--+x y x 与抛物线)0(22>=p px y 的准线相切，则p = ． 【答案】2【解析】圆的标准方程为22(3)16x y -+=，圆心和半径分别为(3,0),4，所以4312p=-=，则2p =．17．正六边形的中心和顶点共7个点，以其中3个点为顶点的三角形共有 个．（用数字作答） 【答案】32【解析】从7个点中取3个点有37C 种取法，3个点共线的有3种，三角形共有37332C -=个．18．tg20tg403tg20tg40++的值是 ． 【答案】3【解析】∵tg20tg40tg(2040)31tg20tg40++==-，∴tg20tg403(1-tg20tg40)+=，tg20tg403tg20tg403++=．19．如图，正方形ABCD 所在平面与正方形ABEF 所在平面成60的二面角，则异面直线AD与BF 所成角的余弦值是 ．【答案】42 【解析】由于//AD BC ，所以CBF ∠即为异面直线AD 与BF 所成角，设正方形边长为a ，在CBF ∆中，,,BF BC a FC =====，222cos 24BF BC FC CBF BF BC +-∠==⋅．三．解答题：本大题共6小题；共69分．解答应写出文字说明、证明过程或演算步骤． 20．（本小题满分11分）解不等式1)11(log >-xa ．【解】本小题考查对数函数性质，对数不等式的解法，分类讨论的方法和运算能力．满分11分．（Ⅰ）当1>a 时，原不等式等价于不等式组：⎪⎪⎩⎪⎪⎨⎧>->-.11,011a xx——2分由此得xa 11>-． 因为10a -<，所以0x <，∴101x a<<-． ——5分 （Ⅱ）当01a <<时，原不等式等价于不等式组：110,11.xa x⎧->⎪⎪⎨⎪-<⎪⎩——7分由①得，1x >或0x <， 由②得，101x a <<-，∴ax -<<111． ——10分 综上，当1>a 时，不等式的解集为⎭⎬⎫⎩⎨⎧<<-011x a x；当10<<a 时，不等式的解集为⎭⎬⎫⎩⎨⎧-<<a x x 111． ——11分 21．（本小题满分12分）已知ABC ∆的三个内角,,A B C 满足：BC A B C A cos 2cos 1cos 1,2-=+=+，求 2cosCA -的值． 【解】本小题考查三角函数基础知识，利用三角公式进行恒等变形和运算的能力．满分12分．解法一：由题设条件知60,120B A C =+=． ——2分∵cos 60=-22cos 1cos 1-=+CA ．将上式化为C A C A cos cos 22cos cos -=+． 利用和差化积及积化和差公式，上式可化为)]cos()[cos(22cos 2cos2C A C A CA C A -++-=-+． ——6分 将21)cos(,2160cos 2cos-=+==+C A C A 代入上式得cos)22A C A C -=-． 将1)2(cos 2)cos(2--=-CA C A 代入上式并整理得 023)2cos(2)2(cos 242=--+-CA C A ——9分(2cos3)022A C A C ---+=，∵302A C -+≠，∴2cos 02A C-=．从而得cos2A C -=． ——12分 解法二：由题设条件知60,120B A C =+=．设2A Cα-=，则2A C α-=，可得60,60A C αα=+=-， ——3分 所以)60cos(1)60cos(1cos 1cos 1αα-++=+ C A ααααsin 23cos 211sin 23cos 211++-=ααα22sin 43cos 41cos -=43cos cos 2-=αα． ——7分 依题设条件有Bcos 243cos cos 2-=-αα， ∵21cos =B ，∴2243cos cos 2-=-αα．整理得22cos 0,αα+-= ——9分(2cos 3)0αα-+=，∵03cos 22≠+α，∴02cos 2=-α．从而得222cos=-C A ． ——12分22．（本小题满分12分）如图1，在正三棱柱111ABC A B C -中，1E BB ∈，截面1A EC ⊥侧面1AC ． （Ⅰ）求证：1BE EB =；（Ⅱ）若111AA A B =；求平面1A EC 与平面111A B C 所成二面角（锐角）的度数． 注意：在下面横线上填写适当内容，使之成为（Ⅰ）的完整证明，并解答（Ⅱ）． （Ⅰ）证明：（如图2）在截面1A EC 内，过E 作1EG AC ⊥，G 是垂足．① ∵ ，∴EG ⊥侧面1AC ；取AC 的中点F ，连结,BF FG ，由AB BC = 得BF AC ⊥．② ∵ ，∴BF ⊥侧面1AC ；得//,,BF EG BF EG 确定一个平面，交侧面1AC 于FG ．③ ∵ ，∴//BE FG ，四边形BEGF 是平行四边形，BE FG =． ④ ∵ ，∴11//,FG AA AAC FGC ∆∆，⑤ ∵ ，∴112121BB AA FG ==，即112BE BB =，故1BE EB =． （Ⅱ）解：【解】本小题考查空间线面关系，正三棱柱的性质，逻辑思维能力，空间想象能力及运算能力．满分12分．（Ⅰ）①面1A EC ⊥侧面1AC ， ——2分②面ABC ⊥侧面1AC ， ——3分 ③//BE 侧面1AC ， ——4分 ④1//BE AA ， ——5分 ⑤//AF FC ， ——6分 （Ⅱ）分别延长11,CE C B 交于点D ，连结1A D ．∵1111111//,22EB CC EB BB CC ==，∴,21111111B A C B DC DB ===∵11111160B AC C B A ∠=∠=︒，1111111(180)302DA B A DB DB A ∠=∠=︒-∠=︒，∴111111190DAC DA B B AC ∠=∠+∠=︒， 即111DA AC ⊥． ——9分∵1CC ⊥面111AC B ，即11A C 是1A C 在平面11AC D 上的射影， 根据三垂线定理得11DA A C ⊥，所以11CAC ∠是所求二面角的平面角． ——11分 ∵11111111,90CC AA A B AC AC C ===∠=︒，∴1145CA C ∠=，即所求二面角为45． ——12分 23．（本小题满分10分）某地现有耕地10000公顷，规划10年后粮食单产比现在增加22%，人均粮食占有量比现在提高10%．如果人口年增长率为1%，那么耕地平均每年至多只能减少多少公顷（精确到1公顷）?（粮食单产=耕地面积总产量，人均粮食占有量=总人口数总产量）【解】本小题主要考查运用数学知识和方法解决实际问题的能力，指数函数和二项式定理的应用，近似计算的方法和能力．满分10分．设耕地平均每年至多只能减少x 公顷，又设该地区现有人口为P 人，粮食单产为M 吨/公顷．依题意得不等式%)101(10%)11()1010(%)221(4104+⨯⨯≥+⨯-⨯+⨯P M P x M ．——5分 化简得]22.1)01.01(1.11[10103+⨯-⨯≤x ． ——7分 ∵103312210101.1(10.01) 1.110[1]10[1(10.010.01)]1.22 1.22C C ⨯+⨯-=⨯-⨯+⨯+⨯+3 1.110[1 1.1045] 4.11.22≈⨯-⨯≈． —— 9分 ∴4x ≤（公顷）．答：按规划该地区耕地平均每年至多只能减少4公顷． ——10分 24．（本小题满分12分）已知12,l l 是过点)0,2(-P 的两条互相垂直的直线，且12,l l 与双曲线122=-x y 各有两个交点，分别为11,A B 和22,A B ．（Ⅰ）求1l 的斜率1k 的取值范围；（Ⅱ）若1122A B B =，求12,l l 的方程．【解】本小题主要考查直线与双曲线的性质，解析几何的基本思想，以及综合运用知识的能力．满分12分．（I ）依题设，12,l l 的斜率都存在，因为1l 过点)0,2(-P 且与双曲线有两个交点，故方程组⎪⎩⎪⎨⎧=-≠+=1)0)(2(2211x y k x k y ① ——1分 有两个不同的解．在方程组①中消去y ，整理得01222)1(2121221=-++-k x k x k ． ②若0121=-k ，则方程组①只有一个解，即1l 与双曲线只有一个交点，与题设矛盾，故0121≠-k ，即11≠k ，方程②的判别式为2222211111)4(1)(21)4(31)k k k ∆=---=-．设2l 的斜率为2k ，因为2l 过点)0,2(-P 且与双曲线有两个交点，故方程组⎪⎩⎪⎨⎧=-≠+=.1),0)(2(2222x y k x k y ③ 有两个不同的解．在方程组③中消去y ，整理得01222)1(2222222=-++-k x k x k ． ④同理有)13(4,0122222-=∆≠-k k ．又因为12l l ⊥，所以有121l l ⋅=-． ——4分于是，12,l l 与双曲线各有两个交点，等价于⎪⎪⎩⎪⎪⎨⎧≠-=⋅>->-.1,1,013,0131212221k k k k k解得⎪⎩⎪⎨⎧≠<<.1,33311k k——6分∴)3,1()1,33()33,1()1,3(1 ----∈k ． ——7分 （Ⅱ）设),(),,(221111y x B y x A ．由方程②知112,122212121212121--=⋅--=+k k x x k k x x ． ∴22222111212112()()(1)()A B x x y y k x x =-+-=+-22112214(1)(31)(1)k k k +-=-． ⑤ ——9分 同理，由方程④可求得222B A ，整理得2212121222)1()3)(1(4k k k B A --+= ⑥ 由22115B A B A =，得2211225A B A B =将⑤、⑥代入上式得22121212212121)1()3)(1(45)1()13)(1(4k k k k k k --+⨯=--+，解得21±=k 取21=k 时，)2(22:),2(2:21+-=+=x y l x y l ； 取21-=k 时，)2(22:),2(2:21+=+-=x y l x y l ． ——12分25．（本小题满分12分）已知,,a b c 是实数，函数2(),()f x ax bx c g x ax b =++=+，当11x -≤≤时，()1f x ≤． （Ⅰ）证明：1c ≤；（Ⅱ）证明：当11x -≤≤时，()2g x ≤；（Ⅲ）设0a >，当11x -≤≤时，()g x 的最大值为2，求()f x ．【解】本小题主要考查函数的性质、含有绝对值的不等式的性质，以及综合运用数学知识分析问题与解决问题的能力．满分12分．（Ⅰ）证明：由条件当11x -≤≤时，()1f x ≤，取0x =得(0)1c f =≤，即1c ≤．——2分（Ⅱ）证法一：当0a >时，()g x ax b =+在[1,1]-上是增函数，∴(1)(0)(1)g g g -≤≤，∵()1(11),1f x x c ≤-≤≤≤，∴(1)(1)(1)2g a b f c f c =+=-≤+≤，(1)(1)((1))2g a b f c f c -=-+=--+≥--+≥-，由此得()2g x ≤． ——5分 当0a <时，()g x ax b =+在[1,1]-上是减函数，∴(1)(0)(1)g g g -≥≥， ∵()1(11),1f x x c ≤-≤≤≤，∴(1)(1)(1)2g a b f c f c -=-+=--+≤-+≤，(1)(1)((1))2g a b f c f c =+=-≥-+≥-，由此得()2g x ≤； ——7分当0a =时，(),()g x b f x bx c ==+．∵11x -≤≤，∴()(1)(1)2g x f c f c =-≤+≤．综上得()2g x ≤． ——8分证法二：由4)1()1(22--+=x x x ，可得221111()[()()]()2222x x x x g x ax b a b +-+-=+=-+- ])21()21([])21()21([22c x b x a c x b x a +-+--++++= 11()()22x x f f +-=-， ——6分当11x -≤≤时，有,0211,1210≤-≤-≤+≤x x 根据含绝对值的不等式的性质，得2)21()21()21()21(≤-++≤--+x f x f x f x f ，即()2g x ≤． ——8分 （Ⅲ）因为0a >，()g x 在[1,1]-上是增函数，当1x =时取得最大值2，即(1)(1)(0)2g a b f f =+=-=． ①∵1(0)(1)2121f f -≤=-≤-=-，∴(0)1c f ==-． ——10分 因为当11x -≤≤时，()1f x ≥-，即()(0)f x f ≥，根据二次函数的性质，直线0x =为()f x 的图像的对称轴，由此得02ba-=，即0b =．由①得2a =．所以 2()21f x x =-． ——12分。

1996年普通高等学校招生全国统一考试历史本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分，第Ⅰ卷1至5页，第Ⅱ卷6至11页。

满分150分。

考试时间120分钟。

第I卷（选择题共72分）注意事项：1．答第Ⅰ卷前，考生务必将自己的姓名、准考证号、考试科目用铅笔涂写在答题卡上。

考试结束，将试题卷和答题卡一并交回。

2．每小题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其它答案标号，不准答在试题卷上。

一、选择题：本大题共28小题，每小题1．5分，共42分。

在每小题列出的四个选项中，只有一项是符合题目要求的。

1．最早出现在今陕西省境内的人类是A．元谋人 B．蓝田人C．半坡人 D．山顶洞人2．周初实行分封制是为了A．建立军事屏障，防止外族入侵B．削弱功臣、贵族的权力C．排斥异姓诸侯，团结同姓诸侯D．巩固奴隶制国家政权3．齐桓公多次召集诸侯会盟的主要目的是A．提高齐国的政治地位B．加强各国之间的交流C．协调诸侯国间的争端D．维护小国的经济利益4．下列各项中，与刘邦在楚汉战争中能够转弱为强无关的是A．重视人才 B．实行“三十税一”C．收揽民心 D．有富饶的根据地5．用焦炭作燃料冶炼金属，始于A．战国 B．西汉C．北宋 D．明朝6．元朝时，黑龙江和乌苏里江流域归属于A．辽阳省 B．岭北省C．黑龙江省 D．吉林省7．据《明史》记载，一些坚持正义、不满宦官专权的士大夫，在书院中聚众讲学，影响很大。

他们的代表是A．黄宗羲 B．顾炎武C．顾宪成 D．王夫之8．清初，奖励垦荒、宣布原明朝藩王的土地归现在耕种的人所有和实行“摊丁入亩”，它们的共同作用是A．调整生产关系B．满足农民的土地要求C．加强经济掠夺D．放松对农民的人身控制9．中国近代史以鸦片战争为开端，主要是因为A．中国第一次被西方国家战败B．长期闭关锁国状况被打破C．社会性质开始发生根本变化D．民族矛盾取代了阶级矛盾10．见右图，1860年清政府被迫割让给英国的九龙司地方一区是11．近代中国海关管理权落入外国人手中，始于A．关税协定权的确定B．海关总税务司的设置C．中日马关条约的订立D．英德借款合同的签订12．下列武昌起义成功的原因中，最主要的是A．清朝湖北当局无力顽抗B．革命党人筹划周密完善C．起义新军的革命主动精神D．立宪派改变策略乘机附和13．“府院之争”的激化，从根本上反映了A．国会内各派政客之间的权力之争B．南方、北方军阀之间的地盘之争C．是否要参加第一次世界大战之争D．美国、日本抢夺对华控制权之争14．促成中国近代第一次思想解放潮流的是A．洋务派与顽固派的论战B．维新派与顽固派的论战C．革命派与保皇派的论战D．“问题”与“主义”的论战15．1927年，大革命失败了。

1996年普通高等学校招生全国统一考试历史试题满分150分。

考试时间120分钟。

第ⅰ卷（选择题，共72分）一.选择题：本大题共28小题，每小题1.5分，共42分。

在每小题列出的四个选项中，只有一项是符合题目要求的。

1.最早出现在今陕西省境内的人类是a.元谋人b.蓝田人c.半坡人d.山顶洞人2.周初实行分封制是为了a.建立军事屏障，防止外族入侵b.削弱功臣、贵族的权力c.排斥异姓诸侯，团结同姓诸侯d.巩固奴隶制国家政权3.齐桓公多次召集诸侯会盟的主要目的是a.提高齐国的政治地位b.加强各国之间的交流c.协调诸侯国间的争端d.维护小国的经济利益4.下列各项中，与刘邦在楚汉战争中能够转弱为强无关的是a.重视人才b.实行"三十税一"c.收揽民心d.有富饶的根据地5.用焦炭作燃料冶炼金属，始于a.战国b.西汉c.北宋d.明朝6.元朝时，黑龙江和乌苏里江流域归属于a.辽阳省b.岭北省c.黑龙江省d.吉林省7.据《明史》记载，一些坚持正义、不满宦官专权的士大夫，在书院中聚众讲学，影响很大。

其代表是a.黄宗羲b.顾炎武c.顾宪成d.王夫之8.清初，奖励垦荒、宣布原明朝藩王的土地归现在耕种的人所有和实行"摊丁入亩"，它们的共同作用是a.调整生产关系b.满足农民的土地要求c.加强经济掠夺d.放松对农民的人身控制9.中国近代史以鸦片战争为开端，主要是因为a.中国第一次被西方国家战败b.长期闭关锁国状况被打破c.社会性质开始发生根本变化d.民族矛盾取代了阶级矛盾10.见右图，1860年清政府被迫割让给英国的九龙司地方一区是（图略）11.近代中国海关管理权落入外国人手中，始于a.关税协定权的确定b.海关总税务司的设置c.中日马关条约的订立d.英德借款合同的签订12.下列武昌起义成功的原因中，最主要的是a.清朝湖北当局无力顽抗b.革命党人筹划周密完善c.起义新军的革命主动精神d.立宪派改变策略乘机附和13."府院之争"的激化，从根本上反映了a.国会内各派政客之间的权力之争b.南方、北方军阀之间的地盘之争c.是否要参加第一次世界大战之争d.美国、日本抢夺对华控制权之争14.促成中国近代第一次思想解放潮流的是a.洋务派与顽固派的论战b.维新派与顽固派的论战c.革命派与保皇派的论战d."问题"与"主义"的论战15.1927年，大革命失败了。

1996年普通高等学校招生全国统一考试英语试题（NMET）第I卷(共115分)一、单词辨音从A、B、C、D中找出其划线部分与所给单词的划线部分读音相同的选项(本题共10分)1. hesitateA. whisperB. museumC. insistD. loose2. holidayA. obviouslyB. proveC. introduceD. government3. equipA. satelliteB. benchC. unitedD. being4. numberA. supposeB. musicC. stupidD. discussion5. expectA. prettyB. centuryC. parentD. movement6. spyA. sorryB. apologyC. plentyD. supply7. favourA. fatherB. islandC. celebrateD. surface8. lonelyA. controlB. OctoberC. positionD. topic9. reasonA. chosenB. basinC. personD. recentA. carriageB. stadiumC. officialD. radium二、词汇和语法知识多项选择从下列各句的A、B、C、D四个选项中选择一个最佳答案(本题共20分)11. Some people would rather ride bicycles as bicycle riding has of the trouble of __ ___ taking buses.A. nothingB. noneC. someD. neither12. When he _____ was there, he go to that coffee shop at the corner after work ev ery day.A. wouldB. shouldC. had betterD. might13. —Oh, it’s you! I _____ you.—I’ve just had my hair cut, and I’m wearing new glasses.A. didn’t recognizeB. hadn’t recognizedC. haven’t recognizedD. don’t recognize14. While sh opping, people sometimes can’t help _____ into buying something they d on’t really need.A. to persuadeB. persuadingC. being persuadedD. be persuaded15. If you are _____ about Australian cities, just read the book written by Dr Johnso n.A. interestedB. anxiousC. upsetD. curious16. We are all going to the games. Why don’t you come _____ ?A. upB. acrossC. alongD. to17. Many countries are increasing their use of natural gas, wind and other forms of_ ____.A. energyB. sourceC. powerD. material18. They were surprised that a child should work out the problem _____ they themse lves couldn’t.A. onceB. thenC. whileD. if19. When I handed the report to John, he said that George was the person _____.A. to sendB. for sending itC. to send it toD. for sending it to20.—The cars give off a great deal of waste gas in the streets.—Yes. But I’m sure something will be done to _____ air pollution.A. reduceB. removeC. collectD. warn21. Yesterday, Jane walked away from discussion. Otherwise she _____ something she would regret later.A. had saidB. saidC. might sayD. might have said22. The thing that _____ is not whether you fail or not, but whether you try or not.A. mattersB. caresC. considersD. minds23. Sir, you _____ be sitting in this waiting room. It is for women and children onl y.A. oughtn’t toB. can’tC. won’tD. needn’t24. _____ the poem a second time, the meaning will become clearer to you.A. our having readB. While readingC. If readingD. When you read25. If I knew the answer, I wouldn’t be asking, _____ ?A. didn’t IB. did IC. would ID. wouldn’t I26. _____ much advice I gave him, he did exactly what he wanted to do.A. HowB. WhateverC. HoweverD. No matter27. —I wonder if I could use your telephone.—_____.A. I wonder howB. I don’t wonderC. Sorry, it’s out of orderD. No wonder, here it is28. —Wasn’t it Dr Wang who spoke to you just now?—_____.A. I didn’t know he wasB. Yes, it wasC. No, he wasn’tD. Yes, he did29. —Which would you rather have, tea or coffee?A. Sure, I wouldB. Yes, pleaseC. Yes, bothD. Neither, thank you30.—Sorry, I couldn’t come to the party. I was sick that day.—_____.A. I don’t know thatB. That’s all rightC. yes, we’ll have another partyD. No, the party wasn’t held三、综合填空在下面的短文中有25个空格，每个空格有A、B、C、D四个选项，根据上下文选择一个最佳答案(本题共25分)A.When one asks students the question “Who likes grammar?” perhaps few dare to rais e their hands. In many 31 this is understandable in Britain. Yet, 32, the study of gramma r is one of the fastest growing areas of research in universities all over the world.33 more so is the fact that many students who do not like grammar in school choose 34 as their subject of study in the university.The rather strange state of affairs 35 an explanation. On the whole, students consider the study of grammar uninteresting, and grammar is 36 taught in most British middle sc hools. However, language, which would be impossible without grammar, is an important p art of human society. 37, it is the foundation(基础) on which our society builds itself. An d it is our ability(能力) to use language that makes it possible for us to let 38 know our thoughts and aims, 39, to communicate(交流思想、交际). A large part of our ability even to 40 depends on language.31. A. reasons B. waysC. subjectsD. ideas32. A. strangely B. suddenlyC. completelyD. excitingly33. A. Ever B. EvenC. What’sD. Indeed34. A. education B. grammarC. languageD. anything35. A. makes B. asksC. needsD. suggests36. A. poorly B. carefullyC. successfullyD. attentively37. A. But B. In factC. As a resultD. On the other hand38. A. ourselves B. yourselvesC. othersD. other countries39. A. to the point B. to our joyC. in publicD. in other words40.A. talk B. thinkC. reviewD. considerB.Is the world really going mad? The other day I was sitting in a small restaurant 41 a quiet drink and a talk with a few friends, when it suddenly 42 me that almost everyon e in the restaurant was smoking. It wasn’t long 43 the whole room was filled with smoke.I asked with an apology for permission to open a window to stop myself 44 !Nowadays air pollution is something that we hardly question any more. However, I st ill can’t walk down the streets in any of the big cities without 45 that people are sufferin g from the air pollution. It is time for the government departments the world over to intr oduce emission(废气排出) controls on all cars and 46 the public transport system(公共交通体系) to encourage people to 47 their cars at home. A friend of mine takes flying less ons each morning and it really makes him 48 when he climbs above the smog layer(烟雾层) and looks down 49 it and thinks: ”I’m breathing that!” This kind of 50 results from t he bad management of resources. Waste things can, 51 should, be treated properly. House-building, road construction and industrial development are all earth-moving (or earth-reduci ng) operations and can change the balances of 52 created over millions of years. I would like to 53 serious studies done on all these main works before they are built. Also, there should be 54 national parks set up to keep the most beautiful parts of our countries in t heir natural 55.41. A. have B. hadC. havingD. have had42. A. seeed B. struckC. sankD. showed43. A. ago B. afterC. beforeD. now44. A. standing B. sittingC. talkingD. dying45. A. thinking B. persuadingC. decidingD. learning46. A. increase B. reduceC. improveD. raise47. A. wash B. repairC. driveD. leave48. A. sick B. tiredC. foolishD. excited49. A. on B. intoC. fromD. for50.A. discussion B. questionC. pollutionD. operation51. A. but B. yetC. stillD. and52. A. life B. mindC. human beingsD. plants53. A. see B. startC. enjoyD. pay54. A. few B. anyC. moreD. no55. A. situations B. statesC. soilsD. places四、单句理解从下列各题的A、B、C、D四句中选择一个与原句意思最接近的句子(本题共20分)56. I had expected only Ann to come but her husband appeared too.A. I had expected Ann to come but her husband came instead.B. I was surprised to find that Ann’s husband was there too.C. As I had expec ted, Ann’s husband came but not Ann herself.D. Both Ann and her husband came, as I had expected.57. Bill would rather do anything than cook.A. Bill likes cooking, but enjoys doing other things more.B. Bill would like to do something else before cooking.C. Bill enjoys doing everything, including cooking.D. Of all things, Bill likes cooking the least.58. She taught the blind boy as if he were a seeing child.A. She treated the boy as a child with normal eyesight.B. She taught the boy whose eyesight would probably return to normal.C. She felt that the boy’s eyesight had returned to normal and he was looking at her.D. She taught the blind boy in the way she taught other blind children.59. No two birds practise quite the same kind of flight.A. The way birds fly is more or less different from one another.B. There are two birds which fly in a different way.C. There is only a slight difference between the flights of two birds.D. It is impossible to find the two birds which practise quite the same kind of light.60.The dinner would have been perfect if it hadn’t been for the fish.A. Te dinner wasn’t so successful without the fish.B. The fish made the dinner less enjoyable.C. The dinner was a complete failure because of the fish.D. The dinner was perfect because the fish was especially good.61. It was a few days before Steve found time to call his mother up.A. Steve was free to telephone his mother a few days ago.B. Steve didn’t want to telephone his mother for a few days.C. Steve wasn’t able to give his mother a phone call until now.D. Steve did not have time to telephone his mother immediately.62. Of the hundreds of people sharing my interest, he’s the first I’ve actually met.A. There are hundreds of people having the same interest as I, but he is the first su ch person I’ve met.B. I’ve never met a person like him who is actually interested in the things I do.C. I’ve met hundreds of people who have the same interest as I, and he is one of th em.D. Actually he is the only person I know who has the same interest as I.63. I don’t think it a bad idea to deal with the two problems separately.A. I insist on dealing with the problems one after the other.B. It would be better if the two different problems could be dealt with.C. I agree that the two problems should not be dealt with together.D. I mean to deal with the two problems in a different way.64. Whether or not they agreed with his idea, all of them gave it serious thought.A. They might not all consider his idea good, but all of them thought it over careful ly.B. All of them thought hard, but couldn’t decide whether or not to agree with his id ea.C. Many of them thought about the idea so seriously that they finally accepted it.D. Only those who agreed with the idea thought about it carefully, but not those wh o didn’t agree with it.65. Her gift for computer is the envy of many people.A. She wishes she could get a computer as a present like many people.B. Many people envy her because she got a computer as a present.C. Many people wish they were as good at the computer as she is.D. She hopes to be good at the computer so that many people will envy her.五、语篇理解根据短文内容，从各题的四个选项中选择一个最佳答案(本题共40分)A.This year some twenty-three hundred teen-agers(young people aged from 13-19) from all over the world will spend about ten months in U. S. homes. They will attend U. S. s chools, meet U. S. teen-agers, and form impressions of the real America. At the same tim e, about thirteen hundred American teen-agers will go to other countries to learn new lang uages and gain a new understanding of the rest of the world.Here is a two-way student exchange(交换) in action. Fred, nineteen, spent last year i n Germany with George’s family. In turn, George’s son Mike spent a year in Fred’s hom e in America.Fred, a lively young man, knew little German when he arrived, but after two month s’ study, the language bega n to come to him. School was completely different from what he had expected-much harder. Students rose respectfully when the teacher entered the roo m. They took fourteen subjects instead of the six that are usual in the United States. Ther e were almost no outside activities(活动).Family life, too, was different. The father’s word was law, and all activities were aro und the family rather than the individual(个人). Fred found the food too simple at first. A lso, he missed having a car.“Back home, you pick up some friends in a ca r and go out and have a good time. I n Germany, you walk, but you soon learn to like it.”At the same time, in America, Mike, a friendly German boy, was also forming his id ea. “I suppose I should criticize(批评) American schools,” he says. “It is far too easy by our level. But I have to say that I like it very much. In Germany we do nothing but stu dy. Here we take part in many outside activities. I think that maybe you schools are bette r in training for citizens(公民). There ought to be some middle ground betwee n the two.”66. This year _____ teen-agers will take part in the exchange programme between A merica and other countries.A. twenty three hundredB. thirteen hundredC. over three thousandD. less than two thousand67. The whole exchange programme is mainly to _____.A. help teen-agers in other countries know the real America.B. send students in America to travel in GermanyC. let students learn something about other countriesD. have teen-agers learn new languages68. Fred and Mike agreed that _____.A. American food tasted better than German foodB. German schools were harder than American schoolsC. mericans and Germans were both friendlyD. There were more cars on the streets in America69. What is particular in American schools is that _____.A. there is some middle ground between the two teaching buildingsB. there are a lot of after-school activitiesC. students usually take fourteen subjects in allD. students go outside to enjoy themselves in a car70.After experiencing the American school life, Mike thought _____.A. a better education should include something good from both America and German yB. German schools trained students to be better citizensC. American schools were not as good as German schoolsD. the easy life in the American school was more helpful to studentsB.When did you last see a polar bear(北极熊) ?On a trip to a zoo, perhaps? If you ha d attended a winter activity in New York a few years ago, you would have seen a whole polar bear club. These “Polar Bears” are people who meet frequently in the winter to sw im in freezing cold water. That day, the air temperature was 3℃, and the water temperat ure was a bit higher. The members of the Polar Bear Club at Coney Island, New York a re usually about the age of 60.Members must satisfy two requirements. First, they must g et along well with everyone else in the group, this is very important because there are so many different kinds of people in the club. Polar Bears must also agree to swim outdoor s at least twice a month from November through February.Doctors do not agree about the medical effects of cold-water swimming. Some are w orried about the dangers of a condition in which the body’s temperature drops so low that finally the heart stops. Other doctors, however, point out that there is more danger of a heart attack during summer swimming because the difference between the air temperature and water temperature is much greater in summer than in winter.The Polar Bears themselves are satisfied with the benefits (or advantages) of cold-wat er swimming. They say that their favorite form of exercise is very good for the circulator y system(循环系统) because it forces the blood to move fast to keep the body warm. Col d-water swimmers usually turn bright red after a few minutes in the water. A person who turns blue probably has a very poor circulatory system and should not try cold-water swi mming.The main benefits(or advantages) of cold-water swimming are probably mental. The P olar Bears love to swim year-round; they find it fun and relaxing. As one 70-year-old woman says.” When I go into the water, I pour my troubles into the ocean and let them f lo at away.”71. The members of the Polar Bear Club must meet the following requirements excep t that_____.A. they should be easy to make friends withB. they must swim outdoors at least 8 times in the four cold monthsC. they must agree to swim outdoors from November through FebruaryD. they must reach the age of 6072. Doctors _____.A. encourage people to take part in cold-water swimming activelyB. point out the possible danger of blood illness during cold-water swimmingC. believe swimming is helpful both in winter and in summerD. have different ideas about the medical effects of cold-water swimming73. According to the passage, some doctors believe it is true that _____.A. you are healthy if cold-water swimming turns your skin color blueB. cold-water swimming causes more heart attacks in summer than in winterC. cold-water swimming can make the body temperature dangerously highD. Polar Bears are bears swimming in freezing water74. The Polar Bears like to swim all the year round, for _____.A. they can remain youngB. it is an easy way to keep the body warm in winterC. they find it enjoyable and interestingD. they might meet fewer troubles in life75. The passage is mainly about _____.A. a group of cold-water swimming loversB. the Polar Bears’ life in New YorkC. doctors’ ideas about cold-water swimmingD. the requirements of the Polar Bear ClubCFarmer Ed Rawlings smiles as he looks at his orange trees. The young oranges are g rowing well in Florida’s weather. Warm sunshine and gentle rains, along with Ed Rawling s’ expert care, will produce a good crop of oranges this year.But Ed has to fight against Florida’s changeable winter weather. In January and Febr uary, temperatures can destroy Ed’s entire orange, crop. Having farmed in Florida for the past 35 years, Ed Rawlings is prepared for the frosts(霜). When temperatures drop below freezing，Ed tries to save his crop by watering his orange trees. The water freezes and forms a thin layer (层) of ice on the trees. Strange as it may sound, this thin layer of ice actually keeps the fruit warm.What happens is simple. When the trees are watered, the water loses heat and becom es ice. The warmth of the heat it loses is sucked in by the fruit and keeps its temperatur e at a safe level. Ed Rawlings has effectively used this method(方法) to save many orang e crops.But Ed still faces some difficulties. The trees should be watered at the exact moment the temperature drops to the freezing point. Also, just the right quantity of water must b e used. Too much water can form a thick layer of ice that will break the trees’ branches. Another difficulty is that wind blows away the heat. So Ed has to worry about not only when but also how often his trees should be watered, and how much water should be us ed.Computer technology may help Ed Rawlings with some of these worries. With equip ment, air and soil temperatures and wind speed can be measured. The information is fed i nto a computer which can tell when temperatures drop to freezing. The computer can corr ectly decide the quantity of water to be used and how frequently the trees should be wate red. Ed Rawlings will find looking after his orange trees a lot easier with the help of a c omputer, and we’ll all have the benefits(or advantages) of computer-age oranges.76. The passage is mainly about _____.A. a farmer’s expert care for his orange treesB. the different uses of computersC. growing oranges in Florida’s changeable weatherD. different ways of frost protection77. Ed tried to protect his crop by _____.A. using a wind machine to drive away the cold airB. equipping his orange trees with a computerC. watering it at the proper timeD. picking his fruit at the first sign of frost78. In the writer’s eyes, computers _____.A. are too expensive for small farmersB. can be a valuable tool for the farmerC. can be used to help oranges grow biggerD. cannot take the place of the farmer’s experience and judgement79. Which of the following is NOT NECESSARY for Ed Rawlings to do?A. He should water the orange trees as soon as the temperature drops to the freezing point.B. He should decide the quantity of water for the orange trees.C. He has to water the orange trees more often in January and February.D. He has to judge how often he should water the orange trees.80.According to the passage, the computer technology can _____.A. get rid of the need for frost protectionB. help the farmer get a better harvestC. tell the farmer why outdoor temperature changesD. prevent the temperature from dropping to the freezing pointD.Have you ever been in a meeting while someone was making a speech and realized suddenly that your mind was a million miles away? You probably felt sorry and made up your mind to pay attention and never have daydreaming again. Most of us, from earliest school days, have been told that daydreaming is a waste of time.”On the contrary, “says L. Giambra, an expert in psychology(心理学), “daydreaming i s quite necessary. Without it, the mind couldn’t get done all the thinking it has to do dur ing a normal day... You can’t possibly do all your thinking with a conscious(有意识的) mind. Instead, your unconscious mind is working out problems all the time. Daydreaming then may be one way that the unconscious and conscious states of mind have silent dialo gues.”Early experts in psychology paid no attention to the importance of daydreams or even considered them harmful. At one time daydreaming was thought to be a cause of some mental illnesses. They did not have a better understanding of daydreams until the late 198 0s. Eric Klinger, a professor of psychology, is the writer of the book Daydreaming. Kling er says, “We know now that daydreaming is one of the main ways that we organize our lives, learn from our experiences, and plan for our futures... Day dreams really are a win dow on the things we fear and the things we long for in life.”Daydreams are usually very simple and direct, quite unlike sleep dreams, which may be hard to understand. It’s easier to gain a deep understanding of your life by paying clo se attention to your daydreams than by trying to examine your sleep dreams carefully. Da ydreams help you recognize the difficult situations in your life and find out a possible wa y of handling(处理) them.Daydreams cannot be predicted(预料); they move off in unexpected directions which may be creative and full of useful ideas. For many famous artists and scientists, daydream s were and are a main source of creative energy.So the next time you catch yourself daydreaming, don’t stop. Just pay attention to yo ur dream. It may be more important than you think.81. Daydreaming used to be considered _____.A. very simple and directB. unimportant or even harmfulC. a necessary part of thinkingD. the result of an unconscious mind82. In what way are daydreams different from sleep dreams?A. Daydreams are easier for us to understand.B. Daydreams are not so easy for us to control and direct.C. Daydreams help us to handle more difficult situations.D. Daydreams help to develop an unconscious mind.83. Professor Eric Klinger believes that _____.A. we may study our experiences just through our daydreamsB. daydreaming is one of the important ways that we recognize our livesC. we should be able to tell our futures by having daydreamsD. our fears and longings in life are shown in our daydreams84. The writer of the article thinks that _____.A. Professor Eric Klinger has a better idea than L. GiambraB. daydreaming with an unconscious mind will do good to healthC. daydreaming is more helpful than sleep dreamsD. many artists and scientists are famous because they have daydreams85. Which of the following is NOT TRUE according to the passage?A. Daydreaming was once regarded as a cause of some mental illnesses.B. Scientists believe that we can know daydreams before having them.C. Experts began to have a better understanding of daydreams in the late 1980s.D. Many well-known artists gained energy of creation from daydreams.第II卷(共35分)六、下面有并列的两组限选题(I组和II组)，考生任选一组。

1996年全国普通高等学校招生统一考试（文史类）数学第I卷一、选择题:本大题共15小题;第1-10题每小题4分,第11-15题每小题5分,共65分,在每小题给出的四个选项中,只有一项是符合题目要求的.(1)设全集I=｛1,2,3,4,5,6,7｝,集合A=｛1,3,5,7｝,B=｛3,5｝.则(2)当a>1时,在同一坐标系中.函数y=a-x与y=log a x的图象是(3)若sin2x>cos2x,则x的取值范围是(5)6名同学排成一排,其中甲、乙两人必须排在一起的不同排法有(A)720种 (B)360种 (C)240种 (D)120种(A)α⊥γ且l⊥m (B)α⊥γ且m∥β(C)m∥β且l⊥m (D)α∥β且α⊥γ(C)最大值是2,最小值是-2 (D)最大值是2,最小值是-1(10)圆锥母线长为1,侧面展开图圆心角为240°,该圆锥的体积是(11)椭圆25x2-150x+9y2+18y+9=0的两个焦点坐标是(A)(-3,5),(-3,-3) (B)(3,3),(3,-5)(C)(1,1),(-7,1) (D)(7,-1),(-1,-1)(12)将边长为a的正方形ABCD沿对角线AC折起,使得BD=a,则三棱锥D-ABC的体积为(13)等差数列｛a n｝的前m项和为30,前2m项和为100,则它的前3m项和为(A)130 (B)170(C)210 (D)260(15)设f(x)是(-∞,+∞)上的奇函数,f(x+2)=f(x),当0≤x≤1时,f(x)=x,则f(7,5)等于(A)0.5 (B)-0.5(C)1.5 (D)-1.5第Ⅱ卷二、填空题：本大题共4小题；每小题4分，共16分。

把答案填在题中横线上。

(16)已知点(-2,3)与抛物线y2=2px(p>0)的焦点的距离是5,则p=(17)正六边形的中心和顶点共7个点,以其中3个点为顶点的三角形共有个.(用数字作答)(19)如图,正方形ABCD所在平面与正方形ABEF所在平面成60°的二面角,则异面直线AD与BF所成角的余弦值是 .三.解答题:本大题共6小题;共69分.解答应写出文字说明、证明过程或演算步骤.（20）（本小题满分11分）解不等式log a(x+1-a)>1.（21）（本小题满分12分）设等比数列｛a n｝的前n项和为S n.若S3+S6=2S9,求数列的公比q.（22）（本小题满分12分）（23）（本小题满分12分）【注意:本题的要求是,参照标号①的写法,在标号②、③、④、⑤的横线上填写适当步骤,完成(Ⅰ)证明的全过程;并解答(Ⅱ).】(Ⅰ)求证:面AEF⊥面ACF;(Ⅱ)求三棱锥A1-AEF的体积.(Ⅰ)证明:①∵BE=a,CF=2a,BE∥CF,延长FE与CB延长线交于D,连结AD.∴△DBE∽△DCF③∴DB=AB.④∴DA⊥AC.⑤∴FA⊥AD.∴面AEF⊥面ACF.（24）（本小题满分10分）某地现有耕地10000公顷.规划10年后粮食单产比现在增加22%,人均粮食占有量比现在提高10%.如果人口年增长率为1%,那么耕地平均每年至多只能减少多少公顷(精确到1公顷)?（25）（本小题满分12分）各有两个交点,分别为A1、B1和A2、B2.(Ⅰ)求l1的斜率k1的取值范围;(Ⅱ)若A1恰是双曲线的一个顶点,求│A2B2│的值.。

1996年普通高等学校招生全国统一考试(全国卷)物理一、选择题本题共8小题;每小题4分,共32分.在每小题给出的四个选项中只有一项是正确的. 1．下列核反应方程式中,表示核聚变过程的是答案：B2．红、橙、黄、绿四种单色光中,光子能量最小的是A．红光B．橙光C．黄光D．绿光答案：A3．一平面线圈用细杆悬于P点,开始时细杆处于水平位置,释放后让它在如图所示的匀强磁场中运动.已知线圈平面始终与纸面垂直,当线圈第一次通过位置Ⅰ和位置Ⅱ时,顺着磁场的方向看去,线圈中感应电流的方向分别为位置Ⅰ位置ⅡA．逆时针方向逆时针方向B．逆时针方向顺时针方向C．顺时针方向顺时针方向D．顺时针方向逆时针方向答案：B4．只要知道下列哪一组物理量,就可以估算出气体中分子间的平均距离?A．阿伏伽德罗常数、该气体的摩尔质量和质量B．阿伏伽德罗常数、该气体的摩尔质量和密度C．阿伏伽德罗常数、该气体的质量和体积D．该气体的密度、体积和摩尔质量答案：B5．根据玻尔理论,氢原子的电子由外层轨道跃迁到内层轨道后A．原子的能量增加,电子的动能减少B．原子的能量增加,电子的动能增加C．原子的能量减少,电子的动能减少D．原子的能量减少,电子的动能增加答案：D6．在右图所示的实验装置中,平行板电容器的极板A与一灵敏的静电计相接,极板B接地.若极板B稍向上移动一点,由观察到的静电计指针变化作出平行板电容器电容变小的结论的依据是A．两极板间的电压不变,极板上的电量变小B．两极板间的电压不变,极板上的电量变大C．极板上的电量几乎不变,两极板间的电压变小D．极板上的电量几乎不变,两极板间的电压变大答案：D7．一焦距为f的凸透镜,主轴和水平的x轴重合.x轴上有一光点位于透镜的左侧,光点到透镜的距离大于f而小于2f.若将此透镜沿x轴向右平移2f的距离,则在此过程中,光点经透镜所成的象点将A．一直向右移动B．一直向左移动C．先向左移动,接着向右移动D．先向右移动,接着向左移动答案：C8．质量为1．0千克的小球从高20米处自由下落到软垫上,反弹后上升的最大高度为5．0米.小球与软垫接触的时间为1．0秒,在接触时间内小球受到合力的冲量大小为(空气阻力不计,g取10米/秒2)A．10牛·秒B．20牛·秒C．30牛·秒D．40牛·秒答案：C9．一物体作匀变速直线运动,某时刻速度的大小为4米/秒,1秒钟后速度的大小变为10米/秒.在这1秒钟内该物体的A．位移的大小可能小于4米B．位移的大小可能大于10米C．加速度的大小可能小于4米/秒2D．加速度的大小可能大于10米/秒2答案：A、D10．LC回路中电容两端的电压u随时刻t变化的关系如下图所示,则A．在时刻t1,电路中的电流最大B．在时刻t2,电路的磁场能最大C．从时刻t2至t3,电路的电场能不断增大D．从时刻t3至t4,电容的带电量不断增大答案：B、C11．如图a,b,c是一条电力线上的三个点，电力线的方向由a到c,a、b间的距离等于b、c 间的距离。

绝密★启用前试卷类型：A1996年普通高等学校招生全国统一考试语文本试卷分第Ⅰ卷（选择题）和第Ⅱ卷两部分。

第Ⅰ卷1至6页，第Ⅱ卷7至13页。

共150分。

考试时间150分钟。

第Ⅰ卷（选择题共60分）注意事项：1.答第Ⅰ卷前，考生务必将自己的姓名、准考证号、考试科目用铅笔涂写在答题卡上。

2.每小题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑。

如需改动，用橡皮擦干净后，再选涂其它答案。

不能答在试题卷上。

3.考试结束，将本试卷和答题卡一并交回。

一（30分）1.下列加点的字在该词语中字音、字义全都正确的一组是（2分）A.绮．（qǐ）丽箴．（jiān）言乳臭．（xiù）未干B.擂．（lèi）台皎．（jiǎo）洁卷帙．（zhì）浩繁C.戕．（qiāng）害璞．（pǔ）玉塞．（sài）翁失马D.踪迹．（jì）姊．（jiě）妹载．（zài）歌载舞2.下列四组词语都有错别字，其中有两个．．错别字的一组是（2分）A.漱口国藉雄赳赳源远流长B.斑斓沉湎金刚钻插科打浑C.诠释惦量荧光屏鸠占雀巢D.宣泄竣工家具店委屈求全3.依次填入下列横线上的关联词语，最恰当的一组是（2分）①上千吨的轮船碰上这样大的风浪也得上下颠簸，_______这么一条小船。

②挖这样的井，占地多，不合算，_______井的四周都是沙土，很容易塌。

③改革后，产品质量提高了，款式新颖了， _______包装也精美了，因而更加受到群众的欢迎。

A.况且何况而且B.况且而且况且C.何况而且何况D.何况况且而且4.依次填入下面横线上的词语，最恰当的一组是（3分）有位作家说，要想使自己生活的扁舟轻驶，务必要让它_____的仅限于必不可少之物，不然轻则_____无以进，重则可能压沉自己的生活之舟。

道理很明白，什么都舍不得撒手，往往____什么都不得不_____。

A.装载徜徉致使割受B.承载徘徊导致舍弃C.装载徘徊致使舍弃D.承载徜徉导致割爱5.下列四句话，用的词语相同，但强调的重点却不同。

1996年普通高等学校招生全国统一考试数学(理工农医类)本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分.共150分,考试时间120分钟.第Ⅰ卷(选择题共65分)一、选择题:本大题共15小题;第(1) (10)题每小题4分,第(11) (15)题每小题5分,共65分,在每小题给出的四个选项中,只有一项是符合题目要求的.(1)已知全集I=N,集合A={x │x=2n,n ∈N},B={x │x=4n,n ∈N},则B A I )D (B A I )C (B A I )B (B A I )A (⋃=⋃=⋃=⋃=[Key] C(1)已知全集I=N,集合A={x │x=2n,n ∈N},B={x │x=4n,n ∈N},则B A I )D (B A I )C (B A I )B (B A I )A (⋃=⋃=⋃=⋃=[Key] C(3)若sin 2x>cos 2x,则x 的取值范围是}Z k ,43k x 41k 2|x ){D (}Z k ,43k x 41k |x ){C (}Z k ,45k 2x 41k 2|x ){B (}Z k ,41k 2x 43k 2|x ){A (∈π+π<<π+π∈π+π<<π-π∈π+π<<π+π∈π+π<<π-π[Key] D(4)复数)i 31()i 22(4-+等于i 31)D (i 31)C (i 31)B (i 31)A (---+-+[Key] B5)如果直线l 、m 与平面α、β、γ满足：l=β∩γ,l//α,m ⊂α和m ⊥γ那么必有(A)α⊥γ且l ⊥m (B)α⊥γ且m ∥β(C)m ∥β且l ⊥m (D)α∥β且α⊥γ[Key] A(6)当2x 2π≤≤π-，函数x cos 3x sin )x (f +=的(A)最大值是1，最小值是-1(B)最大值是1，最小值是-(1/2)(C)最大值是2，最小值是-2(D)最大值是2，最小值是-1[Key] D(7)椭圆⎩⎨⎧ϕ+-=ϕ+=sin 51y cos 33x 的两个焦点坐标是(B)(A)(-3,5),(-3,-3) (B)(3,3,),(3,-5)(C)(1,1,),(-7,1) (D)(7,-1,),(-1,-1)(8)若2a 0π<<，则)]a (arccos[sin )]a 2(arcsin[cos +π++π等于 a 22)D (a 22)C (2)B (2)A (-π--ππ-π[Key] A(9)将边长为a 的正方形ABCD 沿对角线AC 折起,使得BD=a,则三棱锥D-ABC 的体积为3333a 122)D (a 123)C (12a )B (6a )A ([Key] D(10)等比数列{a n }的首项a 1=-1，前n 项的和为S n ，若3231S S 510=，则n n S lim ∞→等于2)D (2)C (32)B (32)A (--[Key] B(11)椭圆的极坐标方程为θ-=ρcos 23，则它在短轴上的两个顶点的极坐标是 )23arctg 2,7)(23arctg ,7)(B ()35,2)(3,2)(B ()23,3)(2,3)(B (),1)(0,3)(A (-ππππππ[Key] C(12)等差数列{a n 的前m 项和为30,前2m 项和为100,则它的前3m 项和为(A)130 (B)170 (C)210 (D)260[Key] C(13)设双曲线)b a 0(1b y a x 2222<<=+的半焦距为c ，直线l 过两点(a,0)(0,b)。